A random graph with (1+ε)n/2 edges contains a path of length cn. A random directed graph with (1+ε)n edges contains a directed path of length cn. This settles a conjecture of Erdõs.
- AMS subject classification (1980): 05C38, 60C05, 60J80
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Computational Mathematics